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Simplifying 3m + 34 = -1 + -1(4m + 7) Reorder the terms: 34 + 3m = -1 + -1(4m + 7) Reorder the terms: 34 + 3m = -1 + -1(7 + 4m) 34 + 3m = -1 + (7 * -1 + 4m * -1) 34 + 3m = -1 + (-7 + -4m) Combine like terms: -1 + -7 = -8 34 + 3m = -8 + -4m Solving 34 + 3m = -8 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 34 + 3m + 4m = -8 + -4m + 4m Combine like terms: 3m + 4m = 7m 34 + 7m = -8 + -4m + 4m Combine like terms: -4m + 4m = 0 34 + 7m = -8 + 0 34 + 7m = -8 Add '-34' to each side of the equation. 34 + -34 + 7m = -8 + -34 Combine like terms: 34 + -34 = 0 0 + 7m = -8 + -34 7m = -8 + -34 Combine like terms: -8 + -34 = -42 7m = -42 Divide each side by '7'. m = -6 Simplifying m = -6
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